1
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
A very long charged solid cylinder of radius a contains a uniform charge density p. Dielectric constant of the material of the cylinder is K. What will be the magnitude of electric field at a radial distance x (x < a) from the axis of the cylinder?
A
$$p{x \over {{\varepsilon _0}}}$$
B
$$p{x \over {{2k\varepsilon _0}}}$$
C
$$p{{{x^2}} \over {2a{\varepsilon _0}}}$$
D
$$p{{{x^{}}} \over {2k}}$$
2
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Two pith balls, each carrying charge + q are hung from a hook by two springs. It is found that when each charge is tripled, angle between the strings double. What was the initial angle between the strings?
A
30$$^\circ $$
B
60$$^\circ $$
C
45$$^\circ $$
D
90$$^\circ $$
3
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Eleven equal point charges, all of them having a charge +Q, are placed at all the hour positions of a circular clock of radius r, except at the 10 h position. What is the electric field strength at the centre of the clock?
A
$${Q \over {4\pi {\varepsilon _0}{r^2}}}$$ from the centre towards the mark 10
B
$${Q \over {4\pi {\varepsilon _0}{r^2}}}$$ from the mark 10 towards the centre
C
$${Q \over {4\pi {\varepsilon _0}{r^2}}}$$ from the centre towards the mark 6
D
Zero.
4
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
A negative charge is placed at the midpoint between two fixed equal positive charges, separated by a distance 2d. If the negative charge is given a small displacement x(x < < d) perpendicular to the line joining the positive charges, how the force (F) developed on it will approximately depend on x?
A
F $$ \propto $$ x
B
$$F \propto {1 \over x}$$
C
F $$ \propto $$ x2
D
$$F \propto {1 \over {{x^2}}}$$
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